349992227001748968
349,992,227,001,748,968 is an even composite number composed of six prime numbers multiplied together.
349992227001748968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 349992227001748968:
23 × 32 × 7 × 132 × 131 × 31366774553
(2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 131 × 31366774553)See below for interesting mathematical facts about the number 349992227001748968 from the Numbermatics database.
Names of 349992227001748968
- Cardinal: 349992227001748968 can be written as Three hundred forty-nine quadrillion, nine hundred ninety-two trillion, two hundred twenty-seven billion, one million, seven hundred forty-eight thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.49992227001748968 × 1017
Factors of 349992227001748968
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 31366774709
Divisors of 349992227001748968
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 131 156 168 169 182 234 252 262 273 312 338 364 393 468 504 507 524 546 676 728 786 819 917 936 1014 1048 1092 1179 1183 1352 1521 1572 1638 1703 1834 2028 2184 2358 2366 2751 3042 3144 3276 3406 3549 3668 4056 4716 4732 5109 5502 6084 6552 6812 7098 7336 8253 9432 9464 10218 10647 11004 11921 12168 13624 14196 15327 16506 20436 21294 22008 22139 23842 28392 30654 33012 35763 40872 42588 44278 47684 61308 66024 66417 71526 85176 88556 95368 107289 122616 132834 143052 154973 177112 199251 214578 265668 286104 309946 398502 429156 464919 531336 619892 797004 858312 929838 1239784 1394757 1594008 1859676 2789514 3719352 5579028 11158056 31366774553 62733549106 94100323659 125467098212 188200647318 219567421871 250934196424 282300970977 376401294636 407768069189 439134843742 564601941954 658702265613 752802589272 815536138378 878269687484 1129203883908 1223304207567 1317404531226 1631072276756 1756539374968 1976106796839 2258407767816 2446608415134 2634809062452 2854376484323 3262144553512 3669912622701 3952213593678 4109047466443 4893216830268 5269618124904 5300984899457 5708752968646 7339825245402 7904427187356 8218094932886 8563129452969 9786433660536 10601969798914 11417505937292 12327142399329 14679650490804 15808854374712 15902954698371 16436189865772 17126258905938 21203939597828 22835011874584 24654284798658 25689388358907 28763332265101 29359300981608 31805909396742 32872379731544 34252517811876 36981427197987 37106894296199 42407879195656 47708864095113 49308569597316 51378776717814 53417617063759 57526664530202 63611818793484 68505035623752 73962854395974 74213788592398 86289996795303 95417728190226 98617139194632 102757553435628 106835234127518 111320682888597 115053329060404 127223637586968 147925708791948 148427577184796 160252851191277 172579993590606 190835456380452 205515106871256 213670468255036 222641365777194 230106658120808 258869990385909 295851417583896 296855154369592 320505702382554 333962048665791 345159987181212 373923319446313 381670912760904 427340936510072 445282731554388 480758553573831 517739980771818 641011404765108 667924097331582 690319974362424 694429021828867 747846638892626 890565463108776 961517107147662 1035479961543636 1121769958338939 1282022809530216 1335848194663164 1388858043657734 1495693277785252 1923034214295324 2070959923087272 2083287065486601 2243539916677878 2671696389326328 2777716087315468 2991386555570504 3365309875016817 3846068428590648 4166574130973202 4487079833355756 4861003152802069 5555432174630936 6249861196459803 6730619750033634 8333148261946404 8974159666711512 9722006305604138 12499722392919606 13461239500067268 14583009458406207 16666296523892808 19444012611208276 24999444785839212 26922479000134536 29166018916812414 38888025222416552 43749028375218621 49998889571678424 58332037833624828 87498056750437242 116664075667249656 174996113500874484 349992227001748968
- Sum of all divisors σ(n): 1182005457557221440
- Sum of proper divisors (its aliquot sum) s(n): 832013230555472472
- 349992227001748968 is an abundant number, because the sum of its proper divisors (832013230555472472) is greater than itself. Its abundance is 482021003553723504
Bases of 349992227001748968
- Binary: 100110110110110110000010011011111001001011001001101111010002
- Hexadecimal: 0x4DB6C137C964DE8
- Base-36: 2NQ5W1FLBU20
Squares and roots of 349992227001748968
- 349992227001748968 squared (3499922270017489682) is 122494558961643779410546530889065024
- 349992227001748968 cubed (3499922270017489683) is 42872143486582753000391955830576262442604434276895232
-
The
square root of 349992227001748968 is 591601408.8909432001 -
The
cube root of 349992227001748968 is 704724.6561544661
Scales and comparisons
How big is 349992227001748968?- 349,992,227,001,748,968 seconds is equal to 11,128,670,221 years, 32 weeks, 9 hours, 22 minutes, 48 seconds.
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To count from 1 to 349,992,227,001,748,968 would take you about thirty-three billion, three hundred eighty-six million, ten thousand, six hundred sixty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 349992227001748968 cubic inches would be around 58727.1 feet tall.
Recreational maths with 349992227001748968
- 349992227001748968 backwards is 869847100722299943
- The number of decimal digits it has is: 18
- The sum of 349992227001748968's digits is 90
- More coming soon!
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